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Finding the Fourth Proportional to 225,916.16, 338,855.72 and 76,153.20

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Solution

The fourth proportional to 225,916.16, 338,855.72 and 76,153.20 is: 114,223.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,916.16 : 338,855.72 = 76,153.20 : x
  2. Step 2: Convert to fraction form
    225,916.16/338,855.72 = 76,153.20/x
  3. Step 3: Cross multiply
    225,916.16x = 338,855.72 × 76,153.20
  4. Step 4: Simplify right side
    225,916.16x = 25,804,947,416.30
  5. Step 5: Solve for x
    x = 25,804,947,416.30/225,916.16
  6. Step 6: Final answer
    x = 114,223.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.